Asymptotic formulas for Vasyunin cotangent sums

作者：

Highlights：

• We provide an asymptotic formula for Vasyunin cotangent sums.

• Vasyunin cotangent sums have applications in Riemann Hypothesis.

• Our approach relies heavily on the Euler-Maclaurin summation formula.

摘要

•We provide an asymptotic formula for Vasyunin cotangent sums.•Vasyunin cotangent sums have applications in Riemann Hypothesis.•Our approach relies heavily on the Euler-Maclaurin summation formula.

论文关键词：Vasyunin cotangent sums,Euler-Maclaurin summation formula,Digamma function

论文评审过程：Received 20 November 2019, Revised 24 April 2020, Accepted 10 May 2020, Available online 23 May 2020, Version of Record 23 May 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125380